Question

find the volume of a cone with a base radius of 6 ft and a height of 10 ft. use the value 3.14 for π, and do not do any rounding. be sure to include the correct unit in your answer.

Explanation:

Step1: Recall the formula for the volume of a cone

The formula for the volume \(V\) of a cone is \(V=\frac{1}{3}\pi r^{2}h\), where \(r\) is the radius of the base and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 6\) ft and \(h=10\) ft, and \(\pi = 3.14\).

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Step3: Simplify the expression

First, \(\frac{1}{3}\times36 = 12\). Then \(V=3.14\times12\times10\).

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Answer:

\(376.8\space ft^{3}\)